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Finding the Fourth Proportional to 577.20, 866.07 and 288.84

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Solution

The fourth proportional to 577.20, 866.07 and 288.84 is: 433.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.20 : 866.07 = 288.84 : x
  2. Step 2: Convert to fraction form
    577.20/866.07 = 288.84/x
  3. Step 3: Cross multiply
    577.20x = 866.07 × 288.84
  4. Step 4: Simplify right side
    577.20x = 250,155.66
  5. Step 5: Solve for x
    x = 250,155.66/577.20
  6. Step 6: Final answer
    x = 433.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.